Mathematical Research Letters

Volume 14 (2007)

Number 1

On the multiplication map of a multigraded algebra

Pages: 129 – 136

DOI: http://dx.doi.org/10.4310/MRL.2007.v14.n1.a11

Authors

Ivan V. Arzhantsev (Moscow State Lomonosov University)

Jürgen Hausen (Universität Tübingen)

Abstract

Given a multigraded algebra $A$, it is a natural question whether or not for two homogeneous components $A_u$ and $A_v$, the product $A_{nu}A_{nv}$ is the whole component $A_{nu+nv}$ for $n$ big enough. We give combinatorial and geometric answers to this question.